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Title: Aperiodic topological crystalline insulators

Abstract

Topological crystalline insulators (TCIs) are normally described with topological protection imposed by the crystalline symmetry. In general, yet, the existence of TCI states does not necessitate the periodicity of crystals as long as an essential lattice symmetry can be identified. Here we demonstrate the compatibility of TCIs with aperiodic systems, as exemplified by an octagonal quasicrystal. The aperiodic TCIs we proposed are attributed to a band inversion mechanism, which inverts states with the same parity but opposite eigenvalues of a specific symmetry (such as mirror reflection). The nontrivial topology is characterized by a nonzero integer "mirror Bott index". Furthermore, we demonstrate that the topological edge states and quantized conductance of the aperiodic TCI, which are robust against disorder, can be effectively manipulated by external electric fields. Our findings not only provide a better understanding of electronic topology in relation to symmetry but also extend the experimental realization of topological states to much broader material categories beyond crystals.

Authors:
 [1];  [2]; ORCiD logo [1]
  1. Univ. of Utah, Salt Lake City, UT (United States)
  2. Univ. of Utah, Salt Lake City, UT (United States); Fudan Univ., Shanghai (China)
Publication Date:
Research Org.:
Univ. of Utah, Salt Lake City, UT (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1581164
Grant/Contract Number:  
FG02-04ER46148
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 101; Journal Issue: 4; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Huang, Huaqing, Wu, Yong-Shi, and Liu, Feng. Aperiodic topological crystalline insulators. United States: N. p., 2020. Web. doi:10.1103/PhysRevB.101.041103.
Huang, Huaqing, Wu, Yong-Shi, & Liu, Feng. Aperiodic topological crystalline insulators. United States. https://doi.org/10.1103/PhysRevB.101.041103
Huang, Huaqing, Wu, Yong-Shi, and Liu, Feng. Mon . "Aperiodic topological crystalline insulators". United States. https://doi.org/10.1103/PhysRevB.101.041103. https://www.osti.gov/servlets/purl/1581164.
@article{osti_1581164,
title = {Aperiodic topological crystalline insulators},
author = {Huang, Huaqing and Wu, Yong-Shi and Liu, Feng},
abstractNote = {Topological crystalline insulators (TCIs) are normally described with topological protection imposed by the crystalline symmetry. In general, yet, the existence of TCI states does not necessitate the periodicity of crystals as long as an essential lattice symmetry can be identified. Here we demonstrate the compatibility of TCIs with aperiodic systems, as exemplified by an octagonal quasicrystal. The aperiodic TCIs we proposed are attributed to a band inversion mechanism, which inverts states with the same parity but opposite eigenvalues of a specific symmetry (such as mirror reflection). The nontrivial topology is characterized by a nonzero integer "mirror Bott index". Furthermore, we demonstrate that the topological edge states and quantized conductance of the aperiodic TCI, which are robust against disorder, can be effectively manipulated by external electric fields. Our findings not only provide a better understanding of electronic topology in relation to symmetry but also extend the experimental realization of topological states to much broader material categories beyond crystals.},
doi = {10.1103/PhysRevB.101.041103},
url = {https://www.osti.gov/biblio/1581164}, journal = {Physical Review B},
issn = {2469-9950},
number = 4,
volume = 101,
place = {United States},
year = {2020},
month = {1}
}

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